Hi Jujub! To find the answer in lowest terms, first you have to find the lowest common denominator. To find this, find the lowest common multiple of 75 and 125, which is 375. Now, to make the common denominator, you have to make equivalent fractions. 375 ÷ 75 = 5, and 5 × 25 = 125. So the new fraction is 125/375. Now the same thing for 25/125. 375 ÷ 125 = 3, and 3 × 25 is 75. So the new fraction is 75/375. Now add the new fractions:
125/375 + 75/375 = 200/375
This answer can be simplified to 8/15.
Answer:
2
Step-by-step explanation:
Let's solve the given system of equations.
<u>Given system</u>
x +3y= 10 ----(1)
-2x -2y= 4 ----(2)
From (2):
-2(x +y)= 4
Dividing both sides by -2:
x +y= -2 ----(2)
Thus, options 3 and 4 are incorrect as x +y≠ -2.
(1) -(2):
(x +3y) -(x +y)= 10 -(-2)
Expand:
x +3y -x -y= 10 +2
2y= 12
Divide both sides by 2:
y= 12 ÷2
y= 6
Substitute y= 6 into (2):
x +6= -2
x= -6 -2
x= -8
Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.
-x +y
= -(-8) +6
= 8 +6
= 14
Thus, option 2 is the correct option.
Answer:
25500
Step-by-step explanation:
Complete question :
Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.
Millitary status _________ female ____ Male
In armed forces _________ 28 _______ 59
Millitary dependent ______ 928 ______ 781
Civilian _______________ 26393 ___27330
Answer:
Male = 0.4193
Female = 0.5087
Step-by-step explanation:
To obtain the marginal distribution of gender :
Total number of civilians (male + female)
(26393 + 27330) = 53,723
Male :
P(male) = number of male / total
P(male) = 26393 / 53,723 = 0.4912793
P(Female) = number of Female / total
P(Female) = 27330 / 53,723 = 0.5087206
In think the answer is 4.5
